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Production Time(hours) Finishing Inspection and Packaging Profit per Bag 10

Production Time(hours) Finishing Inspection and Packaging Profit per Bag 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Par, Inc, isa small manufacturer of golf equipment and supplies. Par's distributer beleves a market exists for hoth a medium-priced guif hag, referred to sastandard model, and a high-priced goir bag, referred to esa deluxe model. The distributor is so conhdent of the market that, if Par can make the bags at a competitive price, the distrbutor w purchase al the segs that Par can manufacture over the next three months. A careful analysis of the manufacturing requirements resulted in the folowing table, which shows the production time rerements for the four rered manufecturing operations and the accounting department's estimate of the preofit enntribution per bag. Production Time(hours) Product Cutting and Dyeng Sewing Pinishing Inspection and Packaging Profit per Bag Standard 10 Deluxe The director of manufacturing estimates that 630 hours of cutting and dyeing time, 600 hours of sewing time, 708 hours of fniahing time, and 135 hours of inspection and pacaing time will e aveilable for the production of golf bags during the next three months. (Lets be the nunber of standant bgs Let D be the number of deluxe hags.) Suppose that Par's management encounters the follewing situations If each of these stuations is encountered separately, what is the optimal solution and the total prof contribution (a) The accounting departmant revises ts estimate of the profit contribution for the deluse bag to per bay. The optimal solution occurs at (S, D) (with a profit of s (D) A new low-cost material is available for the standard bag, and the profit contrbution per standard bag can be increased to 120 per bag. (Assume that the pront contribution of the delue bag the original s9 value.) The optimal solution occurs at (5, D)- with a profit of s (c) New sewing equipment is avalable thet would increase the sewing operation capacity to 775 hours. (Assume that 105 90 is the appropriate objective function) The optmal solution occurs at (5, D)- with a profit of s
Transcribed Image Text:Par, Inc, isa small manufacturer of golf equipment and supplies. Par's distributer beleves a market exists for hoth a medium-priced guif hag, referred to sastandard model, and a high-priced goir bag, referred to esa deluxe model. The distributor is so conhdent of the market that, if Par can make the bags at a competitive price, the distrbutor w purchase al the segs that Par can manufacture over the next three months. A careful analysis of the manufacturing requirements resulted in the folowing table, which shows the production time rerements for the four rered manufecturing operations and the accounting department's estimate of the preofit enntribution per bag. Production Time(hours) Product Cutting and Dyeng Sewing Pinishing Inspection and Packaging Profit per Bag Standard 10 Deluxe The director of manufacturing estimates that 630 hours of cutting and dyeing time, 600 hours of sewing time, 708 hours of fniahing time, and 135 hours of inspection and pacaing time will e aveilable for the production of golf bags during the next three months. (Lets be the nunber of standant bgs Let D be the number of deluxe hags.) Suppose that Par's management encounters the follewing situations If each of these stuations is encountered separately, what is the optimal solution and the total prof contribution (a) The accounting departmant revises ts estimate of the profit contribution for the deluse bag to per bay. The optimal solution occurs at (S, D) (with a profit of s (D) A new low-cost material is available for the standard bag, and the profit contrbution per standard bag can be increased to 120 per bag. (Assume that the pront contribution of the delue bag the original s9 value.) The optimal solution occurs at (5, D)- with a profit of s (c) New sewing equipment is avalable thet would increase the sewing operation capacity to 775 hours. (Assume that 105 90 is the appropriate objective function) The optmal solution occurs at (5, D)- with a profit of s
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